15 citations · 22 across the 11 of their papers we have counts for
11 papers
A Tight-binding Approach for Computing Subwavelength Guided Modes in Crystals with Line Defects
Habib Ammari, Erik Orvehed Hiltunen, Ping Liu +2
In this paper, we develop a framework for computing subwavelength guided modes in high-contrast periodic media with line defects, based on a tight-binding approximation. The physic…
A Perspective on Quantum Computing Applications in Quantum Chemistry using 25--100 Logical Qubits
Yuri Alexeev, Victor S. Batista, Nicholas Bauman +27
The intersection of quantum computing and quantum chemistry represents a promising frontier for achieving quantum utility in domains of both scientific and societal relevance. Owin…
Performance Boundaries and Tradeoffs in Super-Resolution Imaging Technologies for Space Targets
XiaoLe He, Ping Liu, JunLing Wang
Inverse synthetic aperture radar (ISAR) super-resolution imaging technology is widely applied in space target imaging. However, the performance limits of super-resolution imaging a…
Applications of Chebyshev polynomials and Toeplitz theory to topological metamaterials
Habib Ammari, Silvio Barandun, Ping Liu
We survey the use of Chebyshev polynomials and Toeplitz theory for studying topological metamaterials. We consider both Hermitian and non-Hermitian systems of subwavelength resonat…
Generalised Brillouin Zone for Non-Reciprocal Systems
Habib Ammari, Silvio Barandun, Ping Liu +1
Recently, it has been observed that the Floquet-Bloch transform with real quasiperiodicities fails to capture the spectral properties of non-reciprocal systems. The aim of this pap…
Tunable Localisation in Parity-Time-Symmetric Resonator Arrays with Imaginary Gauge Potentials
Habib Ammari, Silvio Barandun, Ping Liu +1
The aim of this paper is to illustrate both analytically and numerically the interplay of two fundamentally distinct non-Hermitian mechanisms in a deep subwavelength regime. Consid…
Spectra and pseudo-spectra of tridiagonal -Toeplitz matrices and the topological origin of the non-Hermitian skin effect
Habib Ammari, Silvio Barandun, Yannick De Bruijn +2
We establish new results on the spectra and pseudo-spectra of tridiagonal -Toeplitz operators and matrices. In particular, we prove the connection between the winding number of…
Exponentially localised interface eigenmodes in finite chains of resonators
Habib Ammari, Silvio Barandun, Bryn Davies +3
This paper studies wave localisation in chains of finitely many resonators. There is an extensive theory predicting the existence of localised modes induced by defects in infinitel…
The Non-Hermitian Skin Effect With Three-Dimensional Long-Range Coupling
Habib Ammari, Silvio Barandun, Jinghao Cao +3
We study the non-Hermitian skin effect in a three-dimensional system of finitely many subwavelength resonators with an imaginary gauge potential. We introduce a discrete approximat…
A mathematical theory of super-resolution and two-point resolution
Ping Liu, Habib Ammari
This paper focuses on the fundamental aspects of super-resolution, particularly addressing the stability of super-resolution and the estimation of two-point resolution. Our first m…
Mathematical Foundation of Sparsity-based Multi-snapshot Spectral Estimation
Ping Liu, Sanghyeon Yu, Ola Sabet +2
In this paper, we study the spectral estimation problem of estimating the locations of a fixed number of point sources given multiple snapshots of Fourier measurements in a bounded…